摘要
本文考虑了下述线性双调和方程Δ2u-a(x)u=f(x) 在Ω中,u∈H2(Ω),(*)其中Ω RN,N>4.对于一类函数a(x),f(x),采用差分方法给出了弱解的内部正则性结果.其结论亦适合于一些非线性双调和方程.
In this paper we consider the biharmonic equationsΔ2u-a(x)u=f(x) in Ω, u∈H2(Ω),(*) where Ω is a bounded domain in RN,N>4.For a large class of functions a(x) and f(x),some results about the interior regularity of weak solutions for(*) are obtained by the analysis of certain difference quotients. Our results are also fit for some nonlinear biharmonic equations.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第2期138-142,共5页
Journal of Central China Normal University：Natural Sciences
基金
Research was supported by the Natural Science Foundation of China(1 0 1 71 0 3 6)
